The aim of this article is to propose a new method for the grey-level image classification problem. We first present the classical variational approach without and with a regularization term in order to smooth the contours of the classified image. Then we present the general topological asymptotic analysis, and we finally introduce its application to the grey-level image classification problem.
@article{M2AN_2007__41_3_607_0,
author = {Auroux, Didier and Belaid, Lamia Jaafar and Masmoudi, Mohamed},
title = {A topological asymptotic analysis for the regularized grey-level image classification problem},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {41},
year = {2007},
pages = {607-625},
doi = {10.1051/m2an:2007027},
mrnumber = {2355713},
zbl = {1138.68622},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2007__41_3_607_0}
}
Auroux, Didier; Belaid, Lamia Jaafar; Masmoudi, Mohamed. A topological asymptotic analysis for the regularized grey-level image classification problem. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 41 (2007) pp. 607-625. doi : 10.1051/m2an:2007027. http://gdmltest.u-ga.fr/item/M2AN_2007__41_3_607_0/
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